{
 "metadata": {
  "name": "",
  "signature": "sha256:cc064edca0b363c4b8c7ef40244d92fd3705eb3b4bb5df6179696cbe6bbf98e5"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "N = 100\n",
      "x = np.sort((10*np.random.rand(N,1)-5),axis=0)\n",
      "t = 5*x**3 - x**2 + x\n",
      "noise_var = 300\n",
      "t = t + np.random.randn(N,1)*np.sqrt(noise_var)\n",
      "pos = ((x>0)*(x<2)).nonzero()[0]\n",
      "x = np.delete(x,pos)[:,None]\n",
      "t = np.delete(t,pos)[:,None]\n",
      "testx = np.linspace(-5,5,100)[:,None]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 66
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pylab as plt\n",
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 67
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(x,t,'ko')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 68,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10a35f210>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a2a5490>"
       ]
      }
     ],
     "prompt_number": 68
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "orders = np.arange(8)+1\n",
      "X = np.ones_like(x)\n",
      "testX = np.ones_like(testx)\n",
      "for i in orders:\n",
      "    X = np.hstack((X,x**i))\n",
      "    testX = np.hstack((testX,testx**i))\n",
      "    w = np.dot(np.linalg.inv(np.dot(X.T,X)),np.dot(X.T,t))\n",
      "    sig_sq = ((t-np.dot(X,w))**2).mean()\n",
      "    test_mean = np.dot(testX,w)\n",
      "    test_var = np.diag(sig_sq*np.dot(np.dot(testX,np.linalg.inv(np.dot(X.T,X))),testX.T))[:,None]\n",
      "    plt.figure()\n",
      "    plt.plot(x,t,'ko')\n",
      "    plt.errorbar(testx.flatten(),test_mean.flatten(),yerr=test_var.flatten())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA19eB4gYRTflAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a596b10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a5c0cd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiIhIZPj/xQPaSvwlgQsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a544e50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERERERiw/8HpdoigQ7egX4AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a787f50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7BRPL1pGAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a785890>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiIiIiIiIiIiIiIiIiIiIiIjEh/8DNRA+jtjHLpgAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a622fd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a765490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEREJpP8P6DaCDZwsWBMAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a697e50>"
       ]
      }
     ],
     "prompt_number": 104
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 104
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}